Data from a consumer transportation survey have been organized in the PivotTable

ID: 3048478 • Letter: D

Question

Data from a consumer transportation survey have been organized in the PivotTable below:

Use this information to answer the questions below. Remember to show your work and/or explain your reasoning.

a). What is the probability that a respondent is male? [3 pts]

b). What is the probability that a respondent is male and drives a minivan? [3 pts]

c). What is the probability that a respondent is female? [3 pts]

d). If it is known than an individual is female, what is the probability that she drives an SUV? [3 pts]

e). If it is known that an individual drives a car, what is the probability that the individual is male? [3 pts]

Count of Type Row Labels Female Male Grand Total Column Labels Car Mini Van SUV Truck Grand Total 13 5 18 2 4 6 31 19 50 11 15

a) P(respondent is a male) = 19/50 = 0.38

b) P(male and drives a minivan) = 2/50 = 0.04

c) P(respondent is a female) = 31/50 = 0.62

d) P(drives an SUV | female) = P((drives an SUV and female)/P(female)

= 7/31 = 0.226

e) P(male | drives a car) = P(male and drives a car)/P(drives a car)

= 5/18 = 0.28

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